The recently established paradigm of higher-order topological states of matter has shown
that not only edge and surface states, but also states localized to corners, can have robust …

Non-Hermitian Hamiltonians, which describe a wide range of dissipative systems, and
higher-order topological phases, which exhibit novel boundary states on corners and …

Topological phases of Hermitian systems are known to exhibit intriguing properties such as
the presence of robust boundary states and the famed bulk-boundary correspondence …

Higher-order topological insulators, as newly found non-trivial materials and structures,
possess topological phases beyond the conventional bulk-boundary correspondence. In …

We study the non-trivial phase of the two-dimensional breathing kagome lattice, displaying
both edge and corner modes. The corner localized modes of a two-dimensional flake were …

We devise a generic and experimentally accessible recipe to prepare boundary states of
topological or nontopological quantum systems through an interplay between coherent …

The spectral properties of a non‐Hermitian quasi‐1D lattice in two of the possible
dimerization configurations are investigated. Specifically, it focuses on a non‐Hermitian …

We propose the ZQ Berry phase as a topological invariant for higher-order symmetry-
protected topological (HOSPT) phases for two-and three-dimensional systems. It is …

The third-order topological insulators based on three-dimensional (3D) photonic crystals
(PCs) have hardly been achieved because the nontrivial bandgap in 3D PCs is difficult to …